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Finding the Third Proportional to 50,109.75 and 106,773.75

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Solution

The third proportional to 50,109.75 and 106,773.75 is: 227,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,109.75 : 106,773.75 = 106,773.75 : x
  2. Step 2: Convert to fraction form
    50,109.75/106,773.75 = 106,773.75/x
  3. Step 3: Cross multiply
    50,109.75x = 106,773.75 × 106,773.75
  4. Step 4: Simplify right side
    50,109.75x = 11,400,633,689.06
  5. Step 5: Solve for x
    x = 11,400,633,689.06/50,109.75
  6. Step 6: Final answer
    x = 227,513.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.